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Simplifying 19x2 + x + -12 = 4x2 + -12 Reorder the terms: -12 + x + 19x2 = 4x2 + -12 Reorder the terms: -12 + x + 19x2 = -12 + 4x2 Add '12' to each side of the equation. -12 + x + 12 + 19x2 = -12 + 12 + 4x2 Reorder the terms: -12 + 12 + x + 19x2 = -12 + 12 + 4x2 Combine like terms: -12 + 12 = 0 0 + x + 19x2 = -12 + 12 + 4x2 x + 19x2 = -12 + 12 + 4x2 Combine like terms: -12 + 12 = 0 x + 19x2 = 0 + 4x2 x + 19x2 = 4x2 Solving x + 19x2 = 4x2 Solving for variable 'x'. Combine like terms: 19x2 + -4x2 = 15x2 x + 15x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 15x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + 15x)' equal to zero and attempt to solve: Simplifying 1 + 15x = 0 Solving 1 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 15x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 15x = 0 + -1 15x = 0 + -1 Combine like terms: 0 + -1 = -1 15x = -1 Divide each side by '15'. x = -0.06666666667 Simplifying x = -0.06666666667Solution
x = {0, -0.06666666667}
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